Long Division Calculator with Remainders

Calculator Use

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or rehearse your own long division problems and use this calculator to check your answers .
retentive part with remainders is one of two methods of doing long division by pass. It is slightly easier than solving a class trouble by finding a quotient answer with a decimal. If you need to do long division with decimals use our long division with Decimals Calculator .

What Are the Parts of Division

For the division conviction 487 ÷ 32 = 15 R 7

  • 487 is the dividend
  • 32 is the divisor
  • 15 is the quotient part of the answer
  • 7 is the remainder part of the answer

solve a long division problem with parts of division: dividend, divisor, quotient, remainder

How to do Long Division With Remainders

From the exercise above let ‘s divide 487 by 32 showing the work .
Long Division
Step-by-Step
set up the problem long division 487 divided by 32
Set up the division problem with the long division symbol or the retentive division bracket.

Put 487, the dividend, on the inside of the bracket. The dividend is the act you ‘re dividing.
Put 32, the divisor, on the outside of the bracket. The divisor is the count you ‘re dividing by .
Divide the first gear number of the dividend, 4 by the divisor, 32.

4 divided by 32 is 0, with a end of 4. You can ignore the remainder for now .
step 2 subtraction in long division problem 487 divided by 32
Put the 0 on crown of the division bracket.
This is the begin of the quotient answer.

Next, reproduce 0 by the divisor 32 and insert the result 0 below the first number of the dividend inside the bracket.

0 * 32 = 0
step 3 long division 487 divided by 32
Draw a line under the 0 and subtract 0 from 4.

4 – 0 = 4
step 4 long division 487 divided by 32
Bring down the next act of the dividend and insert it after the 4 thus you have 48.

step 5 long division 487 divided by 32
divide 48 by the divisor, 32. The answer is 1. You can ignore the remainder for now.

48 ÷ 32 = 1

Note that you could skip all of the previous steps with zeros and jump uncoiled to this step. You equitable need to realize how many digits in the dividend you need to skip over to get your foremost non-zero prize in the quotient answer. In this shell you could divide 32 into 48 straight away .
step 6 long division 487 divided by 32
Put the 1 on clear of the division bar, to the correct of the 0. adjacent, breed 1 by 32 and write the answer under 48.

1 * 32 = 32
step 7 long division 487 divided by 32
Draw a production line and subtract 32 from 48.

48 – 32 = 16
step 8 long division 487 divided by 32
Bring down the next number from the dividend and insert it after the 16 indeed you have 167 .
step 9 long division 487 divided by 32
divide 167 by the 32. See a blueprint emerging ?

167 ÷ 32 is 5 with a remainder of 7
step 10 long division 487 divided by 32
Put the 5 on top of the division prevention, to the right of the 1. Multiply 5 by 32 and write the answer under 167.

5 * 32 = 160
step 11 long division 487 divided by 32
Draw a tune and subtract 160 from 167.

167 – 160 = 7
Since 7 is less than 32 your farseeing division is done. You have your answer : The quotient is 15 and the remainder is 7.

So, 487 ÷ 32 = 15 with a end of 7

For longer dividends, you would continue repeating the division and generation steps until you bring down every finger from the divdend and solve the problem.

Further Reading

Math is Fun besides provides a bit-by-bit work for hanker division with Long Division with Remainders .

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